Bellwork 11/20

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).

Front

How can you determine if a triangle is a right triangle using side lengths?

Back

You can determine if a triangle is a right triangle by checking if the square of the longest side (hypotenuse) is equal to the sum of the squares of the other two sides.

Front

What are the properties of the sides of a right triangle?

Back

In a right triangle, the side opposite the right angle is the hypotenuse, which is the longest side, and the other two sides are called the legs.

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, the sum of the three angles is always 180 degrees, with one angle being exactly 90 degrees.

Front

What is the definition of a hypotenuse?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What is the difference between acute, obtuse, and right triangles?

Back

An acute triangle has all angles less than 90 degrees, an obtuse triangle has one angle greater than 90 degrees, and a right triangle has one angle equal to 90 degrees.

Front

How do you calculate the area of a right triangle?

Back

The area of a right triangle can be calculated using the formula: Area = (1/2) * base * height.

Front

What is the significance of the 45-45-90 triangle?

Back

A 45-45-90 triangle is a special type of right triangle where the two legs are equal in length, and the angles are 45 degrees, 45 degrees, and 90 degrees.

Front

What is the significance of the 30-60-90 triangle?

Back

A 30-60-90 triangle is a special right triangle where the sides are in the ratio 1:√3:2, corresponding to the angles 30 degrees, 60 degrees, and 90 degrees.